Suppose that a and b are positive integers such that (a-bi)^2 = 8 - 6i + 13 - 4i. What is a-bi?
(a-bi)^2 = 8 - 6i + 13 - 4i
a^2 - b^2 - 2abi = 21 - 10i
-2abi = -10i
ab = 5
a^2 - b^2 = 21
Can you take it from here?
=^._.^=
